The Tortoise and the Hare Restart GMRES

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The Tortoise and the Hare Restart GMRES

When solving large nonsymmetric systems of linear equations with the restarted GMRES algorithm, one is inclined to select a relatively large restart parameter in the hope of mimicking the full GMRES process. Surprisingly, cases exist where small values of the restart parameter yield convergence in fewer iterations than larger values. Here, two simple examples are presented where GMRES(1) conver...

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ژورنال

عنوان ژورنال: SIAM Review

سال: 2003

ISSN: 0036-1445,1095-7200

DOI: 10.1137/s003614450139961